Question

(a) find the following side lengths for the net.
$a = \square$ ft
$b = \square$ ft
$c = \square$ ft
$d = \square$ ft
(b) use the net to find the surface area of the prism.
$\square$ $\text{ft}^2$

Explanation:

Step1: Match side A to prism edge

$A = 5$ ft

Step2: Match side B to prism edge

$B = 7$ ft

Step3: Match side C to prism edge

$C = 4$ ft

Step4: Match side D to prism edge

$D = 3$ ft

Step5: Calculate triangular base area

$\text{Area of triangle} = \frac{1}{2} \times 4 \times 3 = 6$ ft²

Step6: Calculate lateral face areas

$\text{Area of face 1} = 5 \times 7 = 35$ ft²
$\text{Area of face 2} = 4 \times 7 = 28$ ft²
$\text{Area of face 3} = 3 \times 7 = 21$ ft²

Step7: Sum all areas for surface area

$\text{Surface Area} = 2 \times 6 + 35 + 28 + 21$
$= 12 + 35 + 28 + 21 = 96$ ft²

Answer:

(a)
$A = 5$ ft
$B = 7$ ft
$C = 4$ ft
$D = 3$ ft
(b) $96$ ft²